Pith Number

pith:Z5NAVVAP

pith:2008:Z5NAVVAPMMVRUVB32RIC5R4BHC

not attested not anchored not stored refs pending

Abelian Zero Modes in Odd Dimensions

Gerald V. Dunne, Hyunsoo Min

arxiv:0808.2991 v1 · 2008-08-21 · 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{Z5NAVVAPMMVRUVB32RIC5R4BHC}

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	2026-05-18T04:36:40.947693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5a0ad40f632b1a543bd4502ec78138a995d4e44926417ab08a4fe123cd0aa0

Aliases

arxiv: 0808.2991 · arxiv_version: 0808.2991v1 · doi: 10.48550/arxiv.0808.2991 · pith_short_12: Z5NAVVAPMMVR · pith_short_16: Z5NAVVAPMMVRUVB3 · pith_short_8: Z5NAVVAP

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/Z5NAVVAPMMVRUVB32RIC5R4BHC \
  | 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: cf5a0ad40f632b1a543bd4502ec78138a995d4e44926417ab08a4fe123cd0aa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea72a9a8e7a7d6db447c37c84dda4d64d9896e29c41d087fb611b580ebbd4a33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-08-21T20:07:30Z",
    "title_canon_sha256": "9d5d40bb2b4bebad219f8b6587259d789af0174688cd15bd943d9c2d1a126d53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2991",
    "kind": "arxiv",
    "version": 1
  }
}