Pith Number

pith:FJ57CHLR

pith:2014:FJ57CHLRFIADH55WYFWAKE65PB

not attested not anchored not stored refs pending

Macroscopic (and Microscopic) Massless Modes

In\^es Aniceto, Michael C. Abbott

arxiv:1412.6380 v2 · 2014-12-19 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJ57CHLRFIADH55WYFWAKE65PB}

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

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	2026-05-18T02:25:18.333689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a7bf11d712a0033f7b6c16c0513dd7873c3f279cc973624d78b9b63637fb39e

Aliases

arxiv: 1412.6380 · arxiv_version: 1412.6380v2 · doi: 10.48550/arxiv.1412.6380 · pith_short_12: FJ57CHLRFIAD · pith_short_16: FJ57CHLRFIADH55W · pith_short_8: FJ57CHLR

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/FJ57CHLRFIADH55WYFWAKE65PB \
  | 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: 2a7bf11d712a0033f7b6c16c0513dd7873c3f279cc973624d78b9b63637fb39e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c6123d6cfdf3bb71e1dee204dccc18ab00432ac5fabbe82125e924af3e395d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-12-19T15:34:51Z",
    "title_canon_sha256": "a4715f13e929b969c1b1d705480d22db1467b0c3048453cbe31ea9bd701a72cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6380",
    "kind": "arxiv",
    "version": 2
  }
}