Pith Number

pith:HHN7KP66

pith:2014:HHN7KP66ZEXS64CTBNXDMOUTPE

not attested not anchored not stored refs pending

Atick-Witten Hagedorn Conjecture, near scale-invariant matter and blue-tilted gravity power spectrum

Anupam Mazumdar, Tirthabir Biswas, Tomi Koivisto

arxiv:1403.7163 v2 · 2014-03-27 · hep-th · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHN7KP66ZEXS64CTBNXDMOUTPE}

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	2026-05-18T01:43:49.995005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39dbf53fdec92f2f70530b6e363a9379145440ac04a886211713dd2391dbf2ea

Aliases

arxiv: 1403.7163 · arxiv_version: 1403.7163v2 · doi: 10.48550/arxiv.1403.7163 · pith_short_12: HHN7KP66ZEXS · pith_short_16: HHN7KP66ZEXS64CT · pith_short_8: HHN7KP66

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/HHN7KP66ZEXS64CTBNXDMOUTPE \
  | 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: 39dbf53fdec92f2f70530b6e363a9379145440ac04a886211713dd2391dbf2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19020d52295b06d9097e132bb23d17ae1121597c09426b38eabbc9b20f2f8001",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-03-27T18:39:05Z",
    "title_canon_sha256": "0d8f3f1649304109ddb9900457fbb26634daeb4b34c93812dcda43bfe8304a28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7163",
    "kind": "arxiv",
    "version": 2
  }
}