Pith Number

pith:BPHMTQ45

pith:2016:BPHMTQ4534GRYI3OZQ7YMNUKKJ

not attested not anchored not stored refs pending

On the volume of double twist link cone-manifolds

Anh T. Tran

arxiv:1612.02799 v1 · 2016-12-08 · 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{BPHMTQ4534GRYI3OZQ7YMNUKKJ}

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	2026-05-18T00:55:29.107254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bcec9c39ddf0d1c236ecc3f86368a5259a0f2b1c0d3bd1cd4b3528e5415ecb0

Aliases

arxiv: 1612.02799 · arxiv_version: 1612.02799v1 · doi: 10.48550/arxiv.1612.02799 · pith_short_12: BPHMTQ4534GR · pith_short_16: BPHMTQ4534GRYI3O · pith_short_8: BPHMTQ45

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/BPHMTQ4534GRYI3OZQ7YMNUKKJ \
  | 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: 0bcec9c39ddf0d1c236ecc3f86368a5259a0f2b1c0d3bd1cd4b3528e5415ecb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb87ae6df75a5cee7ceefd6560393080a7526b5f713f125397d56614e26655ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-08T20:32:01Z",
    "title_canon_sha256": "bd5a0a4ea6abc79322c4ae419acc453243bd6781d46d59d35e949d8a5276d1e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02799",
    "kind": "arxiv",
    "version": 1
  }
}