Pith Number

pith:PWIHUXKW

pith:2010:PWIHUXKW7NSEAYCGWRH2IXZFQ7

not attested not anchored not stored refs pending

Entropy density of spacetime and the Navier-Stokes fluid dynamics of null surfaces

T. Padmanabhan

arxiv:1012.0119 v1 · 2010-12-01 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWIHUXKW7NSEAYCGWRH2IXZFQ7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Entropic route to Brown-York tensor: A unified framework for null and timelike hypersurfaces

Receipt and verification

First computed	2026-05-18T04:26:12.915773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d907a5d56fb64406046b44fa45f2587f57c0685382605c7b886d4e4713ee8e9

Aliases

arxiv: 1012.0119 · arxiv_version: 1012.0119v1 · doi: 10.48550/arxiv.1012.0119 · pith_short_12: PWIHUXKW7NSE · pith_short_16: PWIHUXKW7NSEAYCG · pith_short_8: PWIHUXKW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PWIHUXKW7NSEAYCGWRH2IXZFQ7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7d907a5d56fb64406046b44fa45f2587f57c0685382605c7b886d4e4713ee8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "991a7bb241edef03cf71aa484b72a7da208a4bb2faeb4deba514015123e2c14a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-01T07:27:57Z",
    "title_canon_sha256": "2b01b984c72bb8876f88486f65369b9c17b225379aa2c6766d6dda057fcfddcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0119",
    "kind": "arxiv",
    "version": 1
  }
}