Pith Number

pith:MRR3PDPA

pith:2009:MRR3PDPACFMCLCKUSJ6SBCRQA4

not attested not anchored not stored refs pending

Spiky membranes

Maciej Trzetrzelewski

arxiv:0910.3870 v1 · 2009-10-20 · 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{MRR3PDPACFMCLCKUSJ6SBCRQA4}

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	2026-05-18T02:11:13.747307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6463b78de01158258954927d208a3007060363a307c6080deee481697afb0c71

Aliases

arxiv: 0910.3870 · arxiv_version: 0910.3870v1 · doi: 10.48550/arxiv.0910.3870 · pith_short_12: MRR3PDPACFMC · pith_short_16: MRR3PDPACFMCLCKU · pith_short_8: MRR3PDPA

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/MRR3PDPACFMCLCKUSJ6SBCRQA4 \
  | 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: 6463b78de01158258954927d208a3007060363a307c6080deee481697afb0c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2e6196ac39c9ab5d1eaffa83abb0d0f6db9057721c4d7454caeb61f953df75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-10-20T15:11:20Z",
    "title_canon_sha256": "95d81a87b70259d2bef6ba560aed7af74f9e1b6559d1bb14d4da3ad244458fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3870",
    "kind": "arxiv",
    "version": 1
  }
}