Pith Number

pith:7QHT5WFT

pith:2008:7QHT5WFTKHRKNQOZFNUVTHETHQ

not attested not anchored not stored refs pending

Massless Poincare modules and gauge invariant equations

I.Yu. Tipunin, K.B. Alkalaev, M.Grigoriev

arxiv:0811.3999 v2 · 2008-11-25 · 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{7QHT5WFTKHRKNQOZFNUVTHETHQ}

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	2026-05-18T02:15:13.275186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc0f3ed8b351e2a6c1d92b69599c933c1af8c87deabade0f78632d9f8ce87207

Aliases

arxiv: 0811.3999 · arxiv_version: 0811.3999v2 · doi: 10.48550/arxiv.0811.3999 · pith_short_12: 7QHT5WFTKHRK · pith_short_16: 7QHT5WFTKHRKNQOZ · pith_short_8: 7QHT5WFT

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/7QHT5WFTKHRKNQOZFNUVTHETHQ \
  | 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: fc0f3ed8b351e2a6c1d92b69599c933c1af8c87deabade0f78632d9f8ce87207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "031ff1b27d71a16b556d16733d636104836ea44614096d96596b26aa60275abf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-11-25T00:24:52Z",
    "title_canon_sha256": "afae5ac49b965e54a5bdc49c1b32f6f3964b5ea1d82de207d885c3ce62209f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3999",
    "kind": "arxiv",
    "version": 2
  }
}