Pith Number

pith:D3IDDYWT

pith:2011:D3IDDYWTOAQBUATRMCJOAUCQC5

not attested not anchored not stored refs pending

Generalized blow-up of corners and fiber products

Chris Kottke, Richard B. Melrose

arxiv:1107.3320 v2 · 2011-07-17 · math.GT · 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{D3IDDYWTOAQBUATRMCJOAUCQC5}

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.

Cited by

1 paper in Pith

B-complex manifolds with generalized corners. I. Newlander-Nirenberg Theorems

Receipt and verification

First computed	2026-05-18T02:37:52.350917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed031e2d370201a02716092e050501769e9d7e2bb6f89ad15bbd15a737ad13b

Aliases

arxiv: 1107.3320 · arxiv_version: 1107.3320v2 · doi: 10.48550/arxiv.1107.3320 · pith_short_12: D3IDDYWTOAQB · pith_short_16: D3IDDYWTOAQBUATR · pith_short_8: D3IDDYWT

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/D3IDDYWTOAQBUATRMCJOAUCQC5 \
  | 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: 1ed031e2d370201a02716092e050501769e9d7e2bb6f89ad15bbd15a737ad13b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02bbe86494d2402298bb23712238259a4d5737b850d876237961926c54aa142e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-17T18:02:21Z",
    "title_canon_sha256": "101e5e253933b44fb51576b09661840015cd4739202a41a4ddb6f6b4834e2f6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3320",
    "kind": "arxiv",
    "version": 2
  }
}