Pith Number

pith:TTBMH7GP

pith:2016:TTBMH7GPFNLLKAQJMINXRSIU7W

not attested not anchored not stored refs pending

Mode stability on the real axis

Bernard F. Whiting, Claudio Paganini, Lars Andersson, Siyuan Ma

arxiv:1607.02759 v2 · 2016-07-10 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTBMH7GPFNLLKAQJMINXRSIU7W}

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	2026-05-18T00:39:02.594489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc2c3fccf2b56b50209621b78c914fdbd2a0f6138add88964f63f269a2c4b1b

Aliases

arxiv: 1607.02759 · arxiv_version: 1607.02759v2 · doi: 10.48550/arxiv.1607.02759 · pith_short_12: TTBMH7GPFNLL · pith_short_16: TTBMH7GPFNLLKAQJ · pith_short_8: TTBMH7GP

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/TTBMH7GPFNLLKAQJMINXRSIU7W \
  | 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: 9cc2c3fccf2b56b50209621b78c914fdbd2a0f6138add88964f63f269a2c4b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "298153a0d50734ee2a8b3065c4596b964f81d0420192586bc2a722fd5e0e390c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-07-10T15:52:18Z",
    "title_canon_sha256": "89d12f08c059c0f7ea5c272e3c95ae61ccc55c11ae8bc19bc8c5a046d04c612f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02759",
    "kind": "arxiv",
    "version": 2
  }
}