Pith Number

pith:B6LM4YOE

pith:2011:B6LM4YOEVPPVDBTJI457FG5DII

not attested not anchored not stored refs pending

Shear sum rules at finite chemical potential

Justin R. David, Sachin Jain, Somyadip Thakur

arxiv:1109.4072 v3 · 2011-09-19 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6LM4YOEVPPVDBTJI457FG5DII}

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.

Receipt and verification

First computed	2026-05-18T02:00:29.253656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f96ce61c4abdf518669473bf29ba3422b9bd1d17ba5dc2b34c6443864656dd4

Aliases

arxiv: 1109.4072 · arxiv_version: 1109.4072v3 · doi: 10.48550/arxiv.1109.4072 · pith_short_12: B6LM4YOEVPPV · pith_short_16: B6LM4YOEVPPVDBTJ · pith_short_8: B6LM4YOE

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/B6LM4YOEVPPVDBTJI457FG5DII \
  | 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: 0f96ce61c4abdf518669473bf29ba3422b9bd1d17ba5dc2b34c6443864656dd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7025284db1c50d601c250b80a8ef758827b86f33481218f3d14cdc3fb1a690c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-19T16:04:44Z",
    "title_canon_sha256": "16b2a8afbeadf90092e77edfd8765174148e067ed1ac86a95e72529ea2a1da6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4072",
    "kind": "arxiv",
    "version": 3
  }
}