Pith Number

pith:V7VB4HUX

pith:2012:V7VB4HUX2V5TU4IVFWPRS7C3RR

not attested not anchored not stored refs pending

An instability of hyperbolic space under the Yang-Mills flow

Andrew C. Day, Haitao Liu, Jack Gegenberg, Sanjeev S. Seahra

arxiv:1210.0839 v1 · 2012-10-02 · hep-th · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7VB4HUX2V5TU4IVFWPRS7C3RR}

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	2026-05-18T03:44:14.145751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afea1e1e97d57b3a71152d9f197c5b8c4af8a6df430c79ca82c8f82f000cfb56

Aliases

arxiv: 1210.0839 · arxiv_version: 1210.0839v1 · doi: 10.48550/arxiv.1210.0839 · pith_short_12: V7VB4HUX2V5T · pith_short_16: V7VB4HUX2V5TU4IV · pith_short_8: V7VB4HUX

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/V7VB4HUX2V5TU4IVFWPRS7C3RR \
  | 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: afea1e1e97d57b3a71152d9f197c5b8c4af8a6df430c79ca82c8f82f000cfb56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "734f029d80d850b3b3499ca5d156610cad4184ff805068399d65423280061f06",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-10-02T16:51:05Z",
    "title_canon_sha256": "09c4f17ff0aeeeeec6301284d117c2898095785ea3ff51bf146e070239be1eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0839",
    "kind": "arxiv",
    "version": 1
  }
}