Pith Number

pith:O4AF7ZIL

pith:2011:O4AF7ZILAX6W6CEFPX6QAKI63N

not attested not anchored not stored refs pending

A Novel Formula for Bulk Viscosity from the Null Horizon Focusing Equation

Christopher Eling, Yaron Oz

arxiv:1103.1657 v1 · 2011-03-08 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4AF7ZILAX6W6CEFPX6QAKI63N}

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	2026-05-18T04:20:23.138682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77005fe50b05fd6f08857dfd00291edb4cf4c54962b9b49ad9ef4c3cc1bf05ff

Aliases

arxiv: 1103.1657 · arxiv_version: 1103.1657v1 · doi: 10.48550/arxiv.1103.1657 · pith_short_12: O4AF7ZILAX6W · pith_short_16: O4AF7ZILAX6W6CEF · pith_short_8: O4AF7ZIL

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/O4AF7ZILAX6W6CEFPX6QAKI63N \
  | 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: 77005fe50b05fd6f08857dfd00291edb4cf4c54962b9b49ad9ef4c3cc1bf05ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a39cdc29c4ef3184f2fc277897d9a572fc76696287fef15d86cccfe2d616925",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-03-08T22:09:19Z",
    "title_canon_sha256": "39d4d8d5acbebf632ae5d3fc975dba944d3e02a4fc46a4a40da8afdf5d74f21f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1657",
    "kind": "arxiv",
    "version": 1
  }
}