Pith Number

pith:QH4XHBG4

pith:2011:QH4XHBG4HLN4GOSGHABPBYS3RK

not attested not anchored not stored refs pending

On the Space of Trajectories of a Generic Vector Field

Dan Burghelea, Leonid Friedlander, Thomas Kappeler

arxiv:1101.0778 v2 · 2011-01-04 · math.DS · 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{QH4XHBG4HLN4GOSGHABPBYS3RK}

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	2026-05-18T02:23:05.565374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81f97384dc3adbc33a463802f0e25b8aba4b6cde3dc0011587d30717333b9631

Aliases

arxiv: 1101.0778 · arxiv_version: 1101.0778v2 · doi: 10.48550/arxiv.1101.0778 · pith_short_12: QH4XHBG4HLN4 · pith_short_16: QH4XHBG4HLN4GOSG · pith_short_8: QH4XHBG4

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/QH4XHBG4HLN4GOSGHABPBYS3RK \
  | 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: 81f97384dc3adbc33a463802f0e25b8aba4b6cde3dc0011587d30717333b9631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03fb6b57a8e7800d2c6861a4b4aae27a1cfc8355b2a2c76847b8e7e03dac2485",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-04T18:00:33Z",
    "title_canon_sha256": "d02e34b502c78c1fb930c59ca7e26b6b51700764f1c0082e05bfdf06da4b586f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0778",
    "kind": "arxiv",
    "version": 2
  }
}