Pith Number

pith:5R22NX27

pith:2011:5R22NX27EPQX4HV3MEUYXI52VP

not attested not anchored not stored refs pending

Gluing locally symmetric manifolds: asphericity and rigidity

T. Tam Nguyen Phan

arxiv:1108.4127 v1 · 2011-08-20 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5R22NX27EPQX4HV3MEUYXI52VP}

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	2026-05-18T04:14:56.077788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec75a6df5f23e17e1ebb61298ba3baabeafc967eacfda3e09827597502e4630e

Aliases

arxiv: 1108.4127 · arxiv_version: 1108.4127v1 · doi: 10.48550/arxiv.1108.4127 · pith_short_12: 5R22NX27EPQX · pith_short_16: 5R22NX27EPQX4HV3 · pith_short_8: 5R22NX27

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/5R22NX27EPQX4HV3MEUYXI52VP \
  | 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: ec75a6df5f23e17e1ebb61298ba3baabeafc967eacfda3e09827597502e4630e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f736565ed2443a9d4fef554c9d9b6a62b0cd7a8a5cca9dd5a48fd05adc709b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-20T16:55:05Z",
    "title_canon_sha256": "d2c7d851495c4ce71f1c37abe8b8d58c19c8352af457b70d4649566828512cc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4127",
    "kind": "arxiv",
    "version": 1
  }
}