Pith Number

pith:M3QBBPAK

pith:2016:M3QBBPAKWPMLAB6A7YPSG7C7ZQ

not attested not anchored not stored refs pending

Volume renormalization for singular Yamabe metrics

C. Robin Graham

arxiv:1606.00069 v1 · 2016-05-31 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3QBBPAKWPMLAB6A7YPSG7C7ZQ}

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	2026-05-18T01:13:05.976570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e010bc0ab3d8b007c0fe1f237c5fcc05dae40b71c3e8de80b24bf06ff10a32

Aliases

arxiv: 1606.00069 · arxiv_version: 1606.00069v1 · doi: 10.48550/arxiv.1606.00069 · pith_short_12: M3QBBPAKWPML · pith_short_16: M3QBBPAKWPMLAB6A · pith_short_8: M3QBBPAK

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/M3QBBPAKWPMLAB6A7YPSG7C7ZQ \
  | 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: 66e010bc0ab3d8b007c0fe1f237c5fcc05dae40b71c3e8de80b24bf06ff10a32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c87ecdfff3bda8faeeb96df0dd27ad5104a03aa7dfa86a0f811476851ceac5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-31T22:46:23Z",
    "title_canon_sha256": "f9821d2d6c3bc3641b416ed69fad5dbf8b838d39ba90dae050960523644bdd12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00069",
    "kind": "arxiv",
    "version": 1
  }
}